Question

WILL MARK BRAIN
What is the value of the 7th term in (2x+y)9?

Answer 1

692 that is is answer

Explanation:

Answer 2

Answer: 672x³y⁶.

Explanation:

Newton's binomial formula

`\displaystyle\\\boxed {\sum\limits_(k=1)^n=C^(k-1)_na^(n-k+1)b^(k-1)}`

`\displaystyle\\(2x+y)^9,\\Hence,\\a=2x\ \ \ \ b=y\ \ \ \ n=9\ \ \ \ k=7.\\C^(7-1)_9(2x)^(9-7+1)y^(7-1)=C_9^6(2x)^3y^6=(9!)/((9-6)!*6!) *2^3x^3y^6=\\\\=(6!*7*8*9)/(3!*6!) *8x^3y^6=(7*8*9)/(1*2*3) *8x^3y^6=7*4*3*8*x^3y^6=\\\\=672x^3y^6.`